Drift due to two obstacles in different arrangements
- 142 Downloads
We study the drift induced by the passage of two cylinders through an unbounded extent of inviscid incompressible fluid under the assumption that the flow is two dimensional and steady in the moving frame of reference. The goal is to assess how the resulting total particle drift depends on the parameters of the geometric configuration, namely the distance between the cylinders and their angle with respect to the direction of translation. This problem is studied by numerically computing, for different cylinder configurations, the trajectories of particles starting at various initial locations. The velocity field used in these computations is expressed in closed form using methods of the complex function theory, and the accuracy of calculations is carefully verified. We identify cylinder configurations which result in increased and decreased drift with respect to the reference case when the two cylinders are separated by an infinite distance. Particle trajectories shed additional light on the hydrodynamic interactions between the cylinders in configurations resulting in different drift values. This ensemble of results provides insights about the accuracy of models used to study biogenic transport.
KeywordsDrift Wakes Complex function theory
Unable to display preview. Download preview PDF.
- 1.Advanpix Multiprecision Computing Toolbox for MATLAB 220.127.116.1159. Advanpix LLC., Yokohama, Japan (2015)Google Scholar
- 3.Childress, S.: An Introduction to Theoretical Fluid Mechanics. Courant Lecture Notes in Mathematics. American Mathematical Society, Courant Institute of Mathematical Sciences (2009)Google Scholar
- 16.Lin, Z., Zhang, Y.: Stirring by multi-cylinder in potential flow. ArXiv e-prints (2014)Google Scholar
- 20.Saffman, P.G.: Vortex Dynamics. Cambridge Monographs on Mechanics and Applied Mathematics. Cambridge University Press, Cambridge (1992)Google Scholar